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Finding the Fourth Proportional to 305,369.66, 421,411.20 and 169,406.30

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Solution

The fourth proportional to 305,369.66, 421,411.20 and 169,406.30 is: 233,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,369.66 : 421,411.20 = 169,406.30 : x
  2. Step 2: Convert to fraction form
    305,369.66/421,411.20 = 169,406.30/x
  3. Step 3: Cross multiply
    305,369.66x = 421,411.20 × 169,406.30
  4. Step 4: Simplify right side
    305,369.66x = 71,389,712,170.56
  5. Step 5: Solve for x
    x = 71,389,712,170.56/305,369.66
  6. Step 6: Final answer
    x = 233,781.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.